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Finding the Third Proportional to 1,444.13 and 2,112.19

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Solution

The third proportional to 1,444.13 and 2,112.19 is: 3,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.13 : 2,112.19 = 2,112.19 : x
  2. Step 2: Convert to fraction form
    1,444.13/2,112.19 = 2,112.19/x
  3. Step 3: Cross multiply
    1,444.13x = 2,112.19 × 2,112.19
  4. Step 4: Simplify right side
    1,444.13x = 4,461,336.04
  5. Step 5: Solve for x
    x = 4,461,336.04/1,444.13
  6. Step 6: Final answer
    x = 3,089.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.